GCF of 408/51, 549/8098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 408/51, 549/8098 i.e 3/412998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 408/51, 549/8098.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 408/51,549/8098?
Given fractions are 408/51,549/8098
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 408/51,549/8098, numerators are 408,549
Denominators are 51,8098
The GCF of 408,549 is 3 .
LCM of 51,8098 is 412998.
The greatest common factor of 408/51,549/8098 = [GCF of 408,549]/[LCM of 51,8098]= 3/412998
Therefore, the GCF of 408/51,549/8098 is 3/412998.
To find the highest common factor of 408,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 408,549 is 3.
Lets's calculate GCF of 408,549
| 3 | 408, 549 |
| 136, 183 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 408,549 By Matching Biggest Common Factor Method
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 408,549 . The biggest common factor number is the GCF number.
So the greatest common factor 408,549 is 3.
Lets's calculate LCM of 51,8098
Given numbers has no common factors except 1. So, there LCM is their product i.e 412998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/412998
Therefore, the GCF of Fractions 408/51,549/8098 is 3/412998
Least Common Multiple of 51,8098 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 51,8098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,8098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,8098) x common factors =1 x 1 = 1
LCM(51,8098) = ( 51 × 8098 ) / 1
LCM(51,8098) = 412998 / 1
LCM(51,8098) = 412998
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FAQs on GCF of Fractions of 408/51, 549/8098
1. What is the HCF of 408,549?
The HCF of 408,549 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 408/51, 549/8098?
Answer: GCF of Numerators as per given numbers 408/51, 549/8098 is
GCF of Numerators i.e. for 408,549 is 3
LCM of denominators i.e. for 51,8098 is 412998.
Thus, GCF of Fractions is 3/412998.Finally, GCF of Fractions for 408/51, 549/8098 is 3/412998.